Question

If the bisector of the adjacent angles are perpendicular to each other then prove that their outer arms are in the same straight line.

PLEASE ANSWER FAST IT'S URGENT!
THE ONE WHO WILL ANSWER FIRST WILL BE MARKED AS BRAINLIEST!

Answer 1

Answer:

See diagram.

Angles ABD and DBC are adjacent angles.BE and BF are their bisectors respectively.

Angle between bisectors :   EBF = x + y  = 90 deg.  (given)

So angle ABC = angle ABD + angle DBC

= 2x+2y = 2 (x+y) = 2 * 90 = 180 deg.

So that means that the outer arms AB and BC of the two adjacent angles are along the same line.

❤Hope it will help you.❤

Answer 2

Answer:

Step-by-step explanation:

consider an adjacent lines..if you cut it or bisect it then gives you perpendicular angles, then the adjacent lines must be an straight line.